NCERT Solutions class 12 Maths Exercise 10.1

NCERT Solutions class 12 Maths Exercise 10.1 Class 12 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 12 Maths chapter wise NCERT solution for Maths part 1 and Maths part 2 for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

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NCERT Solutions class 12 Maths Vector Algebra

1. Represent graphically a displacement of 40 km,  east of north.

Ans. Displacement 40 km,  East of North

 Displacement vector  (say) such that  = 40 (given) and vector  makes an angle  with North in East-North quadrant.

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NCERT Solutions class 12 Maths Exercise 10.1

2. Check the following measures as scalars and vectors:

(i) 10 kg  

(ii) 2 meters north-west 

(iii)  

(iv) 40 Watt 

(v)  coulomb 

(vi) 20 m/sec²

Ans. (i) 10 kg is a measure of mass, it has no direction, it is magnitude only and therefore it is a scalar.

(ii) 2 meters North-West us a measure of velocity. It has magnitude and direction both and hence it is a vector.

(iii)  is a measure of angle. It has no direction, it has magnitude only. Therefore it is a scalar.

(iv) 40 Watt is a measure of power. It has no direction, only magnitude and therefore, it is a scalar.

(v)  coulomb is a measure of electric charge and it has magnitude only, therefore, it is a scalar.

(vi) 20 m/sec² is a measure of acceleration. It is a measure of rate of change of velocity, therefore, it is a vector.

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NCERT Solutions class 12 Maths Exercise 10.1

3. Classify the following as scalar and vector quantities:

(i) time period 

(ii) distance  

(iii) force

(iv) velocity 

(v) work done

Ans. (i) Time-scalar

(ii) Distance-scalar

(iii) Force-vector

(iv) Velocity-vector

(v) Work done-scalar

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NCERT Solutions class 12 Maths Exercise 10.1

4. In the adjoining figure, (a square) identify the following vectors:

(i) Coinitial

(ii) Equal

(iii) Collinear but not equal

Ans. (i)  and  have same initial point and therefore coinitial vectors.

(ii)  and  have same direction and same magnitude. Therefore  and  are equal vectors.

(iii)  and  have parallel support, so that they are collinear. Since they have opposite directions, they are not equal. Hence  and  are collinear but not equal.

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NCERT Solutions class 12 Maths Exercise 10.1

5. Answer the following as true or false:

(i)  and  are collinear.

(ii) Two collinear vectors are always equal in magnitude.

(iii) Two vectors having same magnitude are collinear.

(iv) Two collinear vectors having the same magnitude are equal.

Ans. (i) True.

(ii) False. [ and  are collinear vectors but  ]

(iii) False. [ but  and  are vectors along axis (OX) and axis (OY) respectively]

(iv) False. [ Vectors  and  are collinear vectors and  but we know that  because their directions are opposite.]

NCERT Solutions class 12 Maths Exercise 10.1

NCERT Solutions Class 12 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 12 Maths includes text book solutions from both part 1 and part 2. NCERT Solutions for CBSE Class 12 Maths have total 13 chapters. 12 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 12 solutions PDF and Maths ncert class 12 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide

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